14 citations · 24 across the 5 of their papers we have counts for
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math-ph2021
A 3D-Schroedinger operator under magnetic steps with semiclassical applications
Wafaa Assaad, Emanuela L. Giacomelli
We define a Schrödinger operator on the half-space with a discontinuous magnetic field having a piecewise-constant strength and a uniform direction. Motivated by applications in th…
math-ph2021★ 5 cited
Semi-classical eigenvalue estimates under magnetic steps (Former title: Hearing the shape of a magnetic edge in the semiclassical limit)
Wafaa Assaad, Bernard Helffer, Ayman Kachmar
We establish accurate eigenvalue asymptotics and, as a by-product, sharp estimates of the splitting between two consecutive eigenvalues, for the Dirichlet magnetic Laplacian with a…